Finding the Third Proportional to 148,952 and 231,688

Step by Step Solution

1. Step 1: Write the proportion equation
   148,952 : 231,688 = 231,688 : x
2. Step 2: Convert to fraction form
   148,952/231,688 = 231,688/x
3. Step 3: Cross multiply
   148,952x = 231,688 × 231,688
4. Step 4: Simplify right side
   148,952x = 53,679,329,344
5. Step 5: Solve for x
   x = 53,679,329,344/148,952
6. Step 6: Final answer
   x = 360,380.05